Objectively you need large reserves to learn sage mode. Objectively naruto wouldnt fit that build if he didnt have his bloodline. So the odds are slim very slim.
Let's go by what you're saying and say you need large chakra reserves..
Minato learned Sage Mode and he's no Uzumaki..
by your logic Minato had large chakra reserves right?? but he's no Uzumaki
Jiraiya learned Sage Mode and he's no Uzumaki..
by your logic Jiraiya had large chakra reserves right?? but he's no Uzumaki
so two of the Sage Mode users are not Uzumakis
why would Naruto be an exception??
if Minato and Jiraiya had large chakra reserves then it means you don't need to be an Uzumaki to have large chakra pool..
meaning Naruto doesn't need to be an Uzumaki to have large chakra pool..
meaning he can learn Sage Mode without Uzumaki heritage
so you see.. you have no point